question_answer 1)

Find the inverse of the matrix .  

Answer:

Let             = 2(?1 ? 0) ? 1 (4 ? 0) + 3 (8 ? 7)       = ?2 ? 4 + 3 = ?3 0       is non-singular, so A?1 exists.       A11 = (?1)1+1(?1 ? 0) = ?1       A12 = (?1)1+2(4 ? 0) =  ?4;       A13 = (?1)1+3(8 ? 7) = 1;       A21 = (?1)2+1(1 ? 6) = 5;       A22 = (?1)2+2(2 + 21) = 23;       A23 = (?1)2+3(4 + 7) = ?11;       A31 = (?1)3+1(0 + 3) = 3;       A32 = (?1)3+2(0 ? 12) = 12;       A33 = (?1)3+3(?2 ? 4) = ?6;                   Now